MOVABILITY OF LOCALIZED EXCITATIONS IN NONLINEAR DISCRETE-SYSTEMS - A SEPARATRIX PROBLEM

被引：70

作者：

FLACH, S

WILLIS, CR

机构：

[1] Department of Physics, Boston University, Boston

来源：

PHYSICAL REVIEW LETTERS | 1994年 / 72卷 / 12期

关键词：

D O I：

10.1103/PhysRevLett.72.1777

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the effect of internal degrees of freedom on the movability properties of localized excitations on nonlinear Hamiltonian lattices by means of properties of a local phase space which is at least of dimension six. We formulate generic properties of a movability separatrix in this local phase space. We prove that due to the presence of internal degrees of freedom of the localized excitation it is generically impossible to define a Peierls-Nabarro potential in order to describe the motion of the excitation through the lattice. The results are verified analytically and numerically for Fermi-Pasta-Ulam chains.

引用

页码：1777 / 1781

页数：5

共 24 条

[1]

[Anonymous], 1998, ORDINARY DIFFERENTIA

[2]

AUBRY S, IN PRESS PHYSICA D

[3] STATIONARY AND MOVING INTRINSIC LOCALIZED MODES IN ONE-DIMENSIONAL MONATOMIC LATTICES WITH CUBIC AND QUARTIC ANHARMONICITY [J].

BICKHAM, SR ;

KISELEV, SA ;

SIEVERS, AJ .

PHYSICAL REVIEW B, 1993, 47 (21) :14206-14211

[4] DISCRETENESS EFFECTS ON A SINE-GORDON BREATHER [J].

BOESCH, R ;

PEYRARD, M .

PHYSICAL REVIEW B, 1991, 43 (10) :8491-8508

[5] HAMILTONIAN EQUATIONS FOR MULTIPLE-COLLECTIVE-VARIABLE THEORIES OF NONLINEAR KLEIN-GORDON EQUATIONS - A PROJECTION-OPERATOR APPROACH [J].

BOESCH, R ;

STANCIOFF, P ;

WILLIS, CR .

PHYSICAL REVIEW B, 1988, 38 (10) :6713-6735

[6]

BURLAKOV VM, 1990, SOLID STATE COMMUN, V74, P327, DOI 10.1016/0038-1098(90)90496-X

[7] COMPUTER-SIMULATION OF INTRINSIC LOCALIZED MODES IN ONE-DIMENSIONAL AND 2-DIMENSIONAL ANHARMONIC LATTICES [J].

BURLAKOV, VM ;

KISELEV, SA ;

PYRKOV, VN .

PHYSICAL REVIEW B, 1990, 42 (08) :4921-4927

[8] STABILITY OF INTRINSIC LOCALIZED MODES IN ANHARMONIC 1-D LATTICES [J].

CHUBYKALO, OA ;

KOVALEV, AS ;

USATENKO, OV .

PHYSICS LETTERS A, 1993, 178 (1-2) :129-137

[9] MOVING LOCALIZED MODES IN NONLINEAR LATTICES [J].

CLAUDE, C ;

KIVSHAR, YS ;

KLUTH, O ;

SPATSCHEK, KH .

PHYSICAL REVIEW B, 1993, 47 (21) :14228-14232

[10] LOCALIZED BREATHER-LIKE SOLUTION IN A DISCRETE KLEIN-GORDON MODEL AND APPLICATION TO DNA [J].

DAUXOIS, T ;

PEYRARD, M ;

WILLIS, CR .

PHYSICA D, 1992, 57 (3-4) :267-282

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